convect.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "rotating-hill.h"
int main (int argc, char **argv) {
environment rheolef (argc,argv);
geo omega (argv[1]);
string approx = (argc > 2) ? argv[2] : "P1";
Float nu = (argc > 3) ? atof(argv[3]) : 1e-2;
size_t n_max = (argc > 4) ? atoi(argv[4]) : 50;
size_t d = omega.dimension();
Float delta_t = 2*acos(-1.)/n_max;
space Vh (omega, approx, "vector");
field uh = interpolate (Vh, u(d));
space Xh (omega, approx);
Xh.block ("boundary");
field phi_h = interpolate (Xh, phi(d,nu,0));
characteristic X (-delta_t*uh);
integrate_option iopt;
iopt.set_family (integrate_option::gauss_lobatto);
iopt.set_order (Xh.degree());
trial phi (Xh); test psi (Xh);
branch event ("t","phi");
dout << catchmark("nu") << nu << endl
<< event (0, phi_h);
for (size_t n = 1; n <= n_max; n++) {
Float t = n*delta_t;
Float c1 = 1 + delta_t*phi::sigma(d,nu,t);
Float c2 = delta_t*nu;
form a = integrate (c1*phi*psi + c2*dot(grad(phi),grad(psi)), iopt);
field lh = integrate (compose(phi_h, X)*psi, iopt);
problem p (a);
p.solve (lh, phi_h);
dout << event (t, phi_h);
}
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
phi
Float phi(const point &nu, Float a, Float b)
Definition: burgers_flux_godunov.icc:25
Float
see the Float page for the full documentation
branch
see the branch page for the full documentation
characteristic
see the characteristic page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
problem
see the problem page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::integrate_option::gauss_lobatto
@ gauss_lobatto
Definition: integrate_option.h:133
rheolef::integrate_option::set_family
void set_family(family_type type)
Definition: integrate_option.h:260
rheolef::integrate_option::set_order
void set_order(size_t r)
Definition: integrate_option.h:254
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
main
int main(int argc, char **argv)
Definition: convect.cc:29
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
mkgeo_ball.n
int n
Definition: mkgeo_ball.sh:150
mkgeo_contraction.c2
c2
Definition: mkgeo_contraction.sh:199
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::grad
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:911
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef::compose
details::field_expr_v2_nonlinear_node_nary< typename details::function_traits< Function >::functor_type,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits< Exprs >::type... > ::type compose(const Function &f, const Exprs &... exprs)
see the compose page for the full documentation
Definition: compose.h:246
rheolef.h
rheolef - reference manual
rotating-hill.h
Convection-diffusion equation – the rotating hill benchmark.
a
Definition: diffusion_isotropic.h:25
nu
Definition: nu.h:26
p
Definition: sphere.icc:25
phi
Definition: phi.h:25
phi::sigma
Float sigma
Definition: transport_dg_error.cc:27
psi
Definition: interpolate_RTk_polynom.icc:34
u
Float u(const point &x)
Definition: transmission_error.cc:26